What is the Greatest Common Factor of 48851 and 48862?

Greatest common factor (GCF) of 48851 and 48862 is 11.

GCF(48851,48862) = 11

We will now calculate the prime factors of 48851 and 48862, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48851 and 48862.

How to find the GCF of 48851 and 48862?

We will first find the prime factorization of 48851 and 48862. After we will calculate the factors of 48851 and 48862 and find the biggest common factor number .

Step-1: Prime Factorization of 48851

Prime factors of 48851 are 11, 4441. Prime factorization of 48851 in exponential form is:

48851 = 11¹ × 4441¹

Step-2: Prime Factorization of 48862

Prime factors of 48862 are 2, 11, 2221. Prime factorization of 48862 in exponential form is:

48862 = 2¹ × 11¹ × 2221¹

Step-3: Factors of 48851

List of positive integer factors of 48851 that divides 48851 without a remainder.

1, 11, 4441

Step-4: Factors of 48862

List of positive integer factors of 48862 that divides 48851 without a remainder.

1, 2, 11, 22, 2221, 4442, 24431

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48851 and 48862. The biggest common factor number is the GCF number.
So the greatest common factor 48851 and 48862 is 11.

Also check out the Least Common Multiple of 48851 and 48862